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Finding the Third Proportional to 127,533,852 and 203,029,902

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Solution

The third proportional to 127,533,852 and 203,029,902 is: 323,217,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,533,852 : 203,029,902 = 203,029,902 : x
  2. Step 2: Convert to fraction form
    127,533,852/203,029,902 = 203,029,902/x
  3. Step 3: Cross multiply
    127,533,852x = 203,029,902 × 203,029,902
  4. Step 4: Simplify right side
    127,533,852x = 41,221,141,106,129,600
  5. Step 5: Solve for x
    x = 41,221,141,106,129,600/127,533,852
  6. Step 6: Final answer
    x = 323,217,251.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.